Index Number Assignment

  1. The table shows the prices, the price indices and weightage for four types of stationery A, B, C and D.
Stationery
Price(RM) per unit
Price index for the year 2009 based on the year 2008
Weightage
Year 2008
Year 2009
A
2.50
2.00
x
2
B
3.50
4.20
120
3
C
2.00
y
135
m
D
z
5.80
116
4
(a) Find the value of
(i) x, (ii) y, (iii)    z.
(b) The composite index for the price of the stationery in the year 2009 based on the year
  2008 is 118.5. Calculate the value of m.
(c) The total expenditure for stationery in the year 2008 is RM350. Calculate the
  corresponding total expenditure in the year 2009.
(d) The price index for B in the year 2010 based on the year 2008 is 132. Calculate the price index for B in the year 2010 based on the year 2009.
2. The table below shows the prices and the price indices for the four ingredients P, Q, R, and S, used in making biscuits of a particular kind.
Ingredients
Price per kg
( RM )
Price index for the year 2008 based on the year 2006
Year 2006
Year 2008
P
0.80
x
125
Q
2.00
2.8
y
R
z
0.60
150
S
0.50
0.40
80

Diagram below is a pie chart which represents the relative amount of the ingredients P, Q, R and S, used in making biscuits.

Index Number Assignment 1Index Number Assignment 1
(a) Find the value of x, y, and z.
(b)(i) Calculate the composite index for the cost of making these biscuits in the year 2008
  based on the year 2006.
 (ii) Hence, calculate the corresponding cost of making these biscuits in the year 2008 if
   the cost in the year 2006 was RM 585.
(c) The cost of making these biscuits is expected to increase by 40 % from the year 2008 to the year 2010. Find the expected composite index for the year 2010 based on the year
  2006.
TUMUHEIRE AGNES and Ashaba Fredrick

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TUMUHEIRE AGNES and Ashaba Fredrick
6 years ago

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